Every week, Mrs Tim collected 60% more vitamin pills than Mrs Flynn from the pharmacy. They each consumed 28 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 1008 vitamin pills and Mrs Tim's family members consumed 756 more vitamin pills than Mrs Flynn's family.
- How many members were there in Mrs Tim's family, if they each consumed 28 pills weekly?
- How many vitamin pills did Mrs Flynn collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Flynn collected in total = 5 u
Number of pills Mrs Tim collected in total = 8 u
Total pills eaten per week by Mrs Flynn and Mrs Tim
= 28 + 28
= 56
Number of weeks
= 1008 ÷ 56
= 18
Difference in the number of pills Mrs Tim's family consumed more than Mrs Flynn's family
= 8 u - 5 u
= 3 u
3 u = 756
1 u = 756 ÷ 3 = 252
Number of pills that Mrs Tim collected in total
= 8 u
= 8 x 252
= 2016
Number of pills that Mrs Tim's family consumed per week
= 2016 ÷ 18
= 112
Number of members in Mrs Tim's family
= 112 ÷ 28
= 4
(b)
Number of pills that Mrs Flynn collected in total
= 5 u
= 5 x 252
= 1260
Number of pills that Mrs Flynn collected each week
= 1260 ÷ 18
= 70
Answer(s): (a) 4; (b) 70